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Finding the Third Proportional to 787,944 and 1,153,967

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Solution

The third proportional to 787,944 and 1,153,967 is: 1,690,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,944 : 1,153,967 = 1,153,967 : x
  2. Step 2: Convert to fraction form
    787,944/1,153,967 = 1,153,967/x
  3. Step 3: Cross multiply
    787,944x = 1,153,967 × 1,153,967
  4. Step 4: Simplify right side
    787,944x = 1,331,639,837,089
  5. Step 5: Solve for x
    x = 1,331,639,837,089/787,944
  6. Step 6: Final answer
    x = 1,690,018.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.